13002002023200 has 288 divisors, whose sum is σ = 42729625128960. Its totient is φ = 3433785369600.

The previous prime is 13002002023133. The next prime is 13002002023229. The reversal of 13002002023200 is 232020020031.

It is a super-2 number, since 2×13002002023200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13002002023200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1343315961 + ... + 1343325639.

It is an arithmetic number, because the mean of its divisors is an integer number (148366753920).

Almost surely, 2^{13002002023200} is an apocalyptic number.

13002002023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002002023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21364812564480).

13002002023200 is an abundant number, since it is smaller than the sum of its proper divisors (29727623105760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13002002023200 is a wasteful number, since it uses less digits than its factorization.

13002002023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15040 (or 15027 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 13002002023200 its reverse (232020020031), we get a palindrome (13234022043231).

The spelling of 13002002023200 in words is "thirteen trillion, two billion, two million, twenty-three thousand, two hundred".